Finite Elements An Introduction for Engineers [Paperback]

This textbook introduces the finite-element method as an important general technique in engineering mathematics.First published in 1983, this textbook introduces the finite-element method as an important general technique in engineering mathematics. It is written for students who have already completed a general course of vector calculus, matrix algebra and partial differential equations. The treatment introduced in this book will provide a secure foundation for more specialised work.First published in 1983, this textbook introduces the finite-element method as an important general technique in engineering mathematics. It is written for students who have already completed a general course of vector calculus, matrix algebra and partial differential equations. The treatment introduced in this book will provide a secure foundation for more specialised work.First published in 1983, this textbook introduces the finite-element method as an important general technique in engineering mathematics. It is written for students who have already completed a general course of vector calculus, matrix algebra and partial differential equations. The treatment introduced in this book will provide a secure foundation for more specialised work. Each chapter includes worked examples, many of which contain important applications and generalisations of the ideas in the main body of the text. The book is principally aimed at engineering students.Preface; 1. Preliminaries; 2. The finite-element method introduced; 3. Elastic stress analysis using linear triangular elements; 4. Higher-order approximations: (1) fixed element shapes; 5. Higher-order approximations: (2) generalising the element geometry; 6. Axial symmetry and harmonic analysis; 7. The elastic analysis of beams, plates and shells; 8. Programming the finite-element method; References; Notation; Index.